Recurrent dimensions of quasi-periodic solutions for nonlinear evolution equations (Q2759058)
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scientific article; zbMATH DE number 1680716
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Recurrent dimensions of quasi-periodic solutions for nonlinear evolution equations |
scientific article; zbMATH DE number 1680716 |
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Recurrent dimensions of quasi-periodic solutions for nonlinear evolution equations (English)
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10 December 2001
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Diophantine approximation
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discrete dynamical systems
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fractal dimension
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nonlinear partial differential equations
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Recurrent dimensions for discrete dynamical systems are introduced, and bounds are given for the dimensions for quasi-periodic orbits in terms of Diophantine properties of the frequency. These dimensions are investigated for nonlinear partial differential equations.
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